Edit Profile (opens in new tab) Krichever, Igor’ Moiseevich (b. 1950 d. 2022) Co-Author Distance Author ID: krichever.igor-moiseevich Published as: Krichever, I. M.; Krichever, I.; Krichever, Igor; Krichever, Igor M.; Krichever, Igor Moiseevich; Krichever, Ios. M. more...less Further Spellings: Кричевер Игорь Моисеевич Homepage: http://www.math.columbia.edu/~krichev/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · GND · IdRef Documents Indexed: 166 Publications since 1971, including 1 Book and 7 Additional arXiv Preprints 7 Contributions as Editor · 3 Further Contributions Biographic References: 4 Publications Co-Authors: 130 Co-Authors with 95 Joint Publications 4,404 Co-Co-Authors all top 5 Co-Authors 80 single-authored 32 Novikov, Sergeĭ Petrovich 13 Zabrodin, Anton V. 10 Dubrovin, Boris Anatol’evich 10 Phong, Duong Hong 9 Bukhshtaber, Viktor Matveevich 5 D’Hoker, Eric 5 Wiegmann, Paul B. 4 Grushevsky, Samuel 4 Lando, Sergei K. 3 Akhmet’shin, A. A. 3 Nekrasov, Nikita Alexandrovich 3 Shiota, Takahiro 3 Vasil’ev, Viktor Anatol’evich 3 Veselov, Alexander Petrovich 3 Volvovsky, Yu. S. 2 Fomenko, Valentin Trofimovich 2 Fuchs, Dmitry Borisovich 2 Il’ina, A. V. 2 Il’yashenko, Yuliĭ Sergeevich 2 Kozlov, Valeriĭ Vasil’evich 2 Lipan, Ovidiu 2 Manin, Yuriĭ Ivanovich 2 Marshakov, Andrei V. 2 Maslov, Viktor Pavlovich 2 Mineev-Weinstein, Mark 2 Ogievetsky, Oleg V. 2 Schwarz, Albert S. 2 Shlosman, Senya B. 2 Vershik, Anatoliĭ Moiseevich 1 Adler, Vsevolod Eduardovich 1 Allouche, Jean-Paul Simon 1 Aptekarev, Alexander Ivanovich 1 Arbarello, Enrico 1 Aref’eva, Irina Yaroslavna 1 Astashov, A. M. 1 Astashova, Irina Viktorovna 1 Avilov, V. V. 1 Babelon, Olivier 1 Berest, Yuri Yu. 1 Billey, E. 1 Bocharov, Alexei V. 1 Braden, Harry W. 1 Brezzi, Franco 1 Cai, Ronggen 1 Chalykh, Oleg A. 1 Chetverikov, Vladimir N. 1 Chirka, Evgeniĭ Mikhaĭlovich 1 Dales, Harold Garth 1 Dobrokhotov, Sergei Yurievich 1 Dolan, Louise 1 Drinfeld, Vladimir Gershonovich 1 Eguchi, Tohru 1 Eleonskij, V. M. 1 Ercolani, Nicholas M. 1 Etingof, Pavel Il’ich 1 Feigin, Misha V. 1 Felder, J. 1 Ferapontov, Evgeny Vladimirovich 1 Ferrara, Sergio 1 Gaifullin, Alexander A. 1 Gao, Changjun 1 Gao, Yihong 1 Ge, Xianhui 1 Gentili, Graziano 1 Gologan, Radu-Nicolae 1 Gorskiĭ, Aleksandr Sergeevich 1 Grinevich, Pëtr Georgievich 1 Gromov, Mikhael Leonidovich 1 Gukov, Sergei 1 Gusein-Zade, Sabir M. 1 Hawking, Stephen William 1 Khelemskiĭ, Aleksandr Yakovlevich 1 Hosono, Shinobu 1 Jacob, Christine 1 Jensen, Arne 1 Kac, Victor 1 Kashin, Boris Sergeevich 1 Kazaryan, Maxim Eduardovich 1 Kesel’man, V. M. 1 Khor’kova, Nina Grigor’evna 1 Khovanskiĭ, Askold Georgievich 1 Kontsevich, Maxim 1 Korchemsky, Gregory P. 1 Kosmann-Schwarzbach, Yvette 1 Kostov, Ivan K. 1 Krasil’shchik, Iosif Semënovich 1 Krishchenko, Alexander P. 1 Kruzhilin, Nikolai Georgievich 1 Kulagin, N. E. 1 Levermore, C. David 1 Li, Miao 1 Liu, Kefeng 1 Lychagin, Valentin V. 1 Mal’tsev, Arkadiĭ Anatol’evich 1 Margulis, Grigoriĭ Aleksandrovich 1 Marini, Giambattista 1 Marvan, Michal 1 Miller, Peter D. 1 Millionshchikov, Dmitriĭ Vladimirovich 1 Mironov, Andrei D. ...and 52 more Co-Authors all top 5 Serials 23 Functional Analysis and its Applications 22 Russian Mathematical Surveys 9 Uspekhi Matematicheskikh Nauk [N. S.] 8 Funktsional’nyĭ Analiz i ego Prilozheniya 8 Soviet Mathematics. Doklady 7 Communications in Mathematical Physics 5 Soviet Scientific Reviews. Section C 4 Physica D 3 Letters in Mathematical Physics 3 Nuclear Physics. B 3 Acta Applicandae Mathematicae 3 IMRN. International Mathematics Research Notices 3 Translations. Series 2. American Mathematical Society 2 Communications on Pure and Applied Mathematics 2 Mathematical Notes 2 Journal of Soviet Mathematics 2 Mathematics of the USSR. Izvestiya 2 Mathematics of the USSR, Sbornik 2 Soviet Physics. Doklady 2 Moscow Mathematical Journal 2 Proceedings of Symposia in Pure Mathematics 1 Inverse Problems 1 Matematicheskie Zametki 1 Physics Letters. B 1 Theoretical and Mathematical Physics 1 Journal of Geometry and Physics 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Journal of Differential Geometry 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Mathematical Research Letters 1 Izvestiya: Mathematics 1 European Mathematical Society Newsletter 1 Reviews in Mathematics and Mathematical Physics 1 Annals of Mathematics. Second Series 1 Journal of the Institute of Mathematics of Jussieu 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Pure and Applied Mathematics Quarterly 1 Classic Reviews in Mathematics and Mathematical Physics 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Advanced Lectures in Mathematics (ALM) all top 5 Fields 80 Partial differential equations (35-XX) 76 Dynamical systems and ergodic theory (37-XX) 72 Algebraic geometry (14-XX) 34 Quantum theory (81-XX) 19 Differential geometry (53-XX) 15 Functions of a complex variable (30-XX) 13 Difference and functional equations (39-XX) 13 Manifolds and cell complexes (57-XX) 13 Global analysis, analysis on manifolds (58-XX) 11 Nonassociative rings and algebras (17-XX) 10 Several complex variables and analytic spaces (32-XX) 8 General and overarching topics; collections (00-XX) 8 History and biography (01-XX) 8 Operator theory (47-XX) 7 Mechanics of particles and systems (70-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Ordinary differential equations (34-XX) 5 Algebraic topology (55-XX) 3 Special functions (33-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 2 Fluid mechanics (76-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 139 Publications have been cited 3,243 times in 1,962 Documents Cited by ▼ Year ▼ Theta functions and non-linear equations. Zbl 0549.58038 Dubrovin, B. A. 226 1981 Integrability and Seiberg-Witten exact solution. Zbl 0997.81567 Gorsky, A.; Krichever, Igor Moiseevich; Marshakov, A.; Mironov, A.; Morozov, A. 222 1995 Integration of nonlinear equations by the methods of algebraic geometry. Zbl 0368.35022 Krichever, I. M. 156 1977 The \(\tau\)-function of the universal Whitham hierarchy, matrix models and topological field theories. Zbl 0811.58064 Krichever, I. M. 153 1994 Methods of algebraic geometry in the theory of nonlinear equations. Zbl 0386.35002 Krichever, I. M. 146 1977 Theta-functions and non-linear equations. Zbl 0478.58038 Dubrovin, B. A. 118 1981 Quantum integrable models and discrete classical Hirota equations. Zbl 0896.58035 Krichever, I.; Lipan, O.; Wiegmann, P.; Zabrodin, A. 101 1997 Method of averaging for two-dimensional ”integrable” equations. Zbl 0688.35088 Krichever, I. M. 98 1988 Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles. Zbl 0473.35071 Krichever, I. M. 96 1981 Algebras of Virasoro type, Riemann surfaces and structures of the theory of solitons. Zbl 0634.17010 Krichever, I. M.; Novikov, S. P. 92 1987 The dispersionless Lax equations and topological minimal models. Zbl 0753.35095 Krichever, I. 88 1992 Holomorphic bundles over algebraic curves and nonlinear equations. Zbl 0548.35100 Krichever, I. M.; Novikov, S. P. 70 1980 Methods of algebraic geometry in the theory of nonlinear equations. Zbl 0372.35002 Krichever, I. M. 68 1977 Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and representations of the Sklyanin algebra. Zbl 0960.37030 Krichever, I.; Zabrodin, A. 65 1995 Rational solutions of the Kadomtsev-Petviashvili equation and integrable systems of \(n\) particles on a line. Zbl 0408.70010 Krichever, I. M. 60 1978 Algebraic-geometric construction of the Zakharov-Shabat equations and their periodic solutions. Zbl 0361.35007 Krichever, I. M. 60 1976 Finite genus solutions to the Ablowitz-Ladik equations. Zbl 0869.34065 Miller, Peter D.; Ercolani, Nicholas M.; Krichever, Igor M.; Levermore, C. David 59 1995 Virasoro-type algebras, Riemann surfaces and strings in Minkowski space. Zbl 0659.17012 Krichever, I. M.; Novikov, S. P. 57 1987 Spectral theory of two-dimensional periodic operators and its applications. Zbl 0699.35188 Krichever, I. M. 55 1989 The effective prepotential of \(N=2\) supersymmetric SU\((N_c)\) gauge theories. Zbl 0925.81380 D’Hoker, Eric; Krichever, I. M.; Phong, D. H. 49 1997 The Schrödinger equation in a periodic field and Riemann surfaces. Zbl 0441.35021 Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 48 1976 Integrable systems. I. Zbl 0780.58019 Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 46 1985 Spin generalization of the Calogero-Moser system and the matrix KP equation. Zbl 0843.58069 Krichever, I.; Babelon, O.; Billey, E.; Talon, M. 44 1995 Algebraic curves and nonlinear difference equations. Zbl 0382.39003 Krichever, I. M. 44 1978 Die Integration nichtlinearer Gleichungen vermittels Methoden der algebraischen Geometrie. Zbl 0346.35028 Krichever, I. M. 44 1977 On the integrable geometry of soliton equations and \(N=2\) supersymmetric gauge theories. Zbl 0889.58044 Krichever, I. M.; Phong, D. H. 41 1997 The \(\tau\)-function for analytic curves. Zbl 0991.37050 Kostov, I. K.; Krichever, I.; Mineev-Weinstein, M.; Wiegmann, P. B.; Zabrodin, A. 41 2001 Vector bundles and Lax equations on algebraic curves. Zbl 1073.14048 Krichever, I. 39 2002 Laplacian growth and Whitham equations of soliton theory. Zbl 1078.76025 Krichever, I.; Mineev-Weinstein, M.; Wiegmann, P.; Zabrodin, A. 38 2004 Integrable structure of the Dirichlet boundary problem in multiply-connected domains. Zbl 1091.37019 Krichever, I.; Marshakov, A.; Zabrodin, A. 37 2005 Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles. Zbl 0462.35080 Krichever, I. M. 36 1980 Holomorphic bundles over algebraic curves and nonlinear equations. Zbl 0501.35071 Krichever, I. M.; Novikov, S. P. 36 1980 Commutative rings of ordinary linear differential operators. Zbl 0408.34008 Krichever, I. M. 35 1978 Isomonodromy equations on algebraic curves, canonical transformations and Whitham equations. Zbl 1044.70010 Krichever, I. 33 2002 Algebras of Virasoro type, energy-momentum tensor, and decomposition operators on Riemann surfaces. Zbl 0684.17012 Krichever, I. M.; Novikov, S. P. 31 1989 The effective prepotential of \(N=2\) supersymmetric SO\((N_c)\) and Sp\((N_c)\) gauge theories. Zbl 0925.81381 D’Hoker, Eric; Krichever, I. M.; Phong, D. H. 29 1997 Elliptic solutions to difference nonlinear equations and related many-body problems. Zbl 0907.35124 Krichever, I.; Wiegmann, P.; Zabrodin, A. 27 1998 Generalized elliptic genera and Baker-Akhiezer functions. Zbl 0702.57006 Krichever, I. M. 27 1990 The renormalization group equation in \(N=2\) supersymmetric gauge theories. Zbl 0979.81587 D’Hoker, Eric; Krichever, I. M.; Phong, D. H. 26 1997 Algebraic-geometric \(n\)-orthogonal curvilinear coordinate systems and solutions of the associativity equations. Zbl 1004.37052 Krichever, I. M. 26 1997 Multi-phase solutions of the Benjamin-Ono equation and their averaging. Zbl 0752.35058 Dobrokhotov, S. Yu.; Krichever, I. M. 26 1991 Spectral theory of finite-zone nonstationary Schrödinger operators. A nonstationary Peierls model. Zbl 0637.35060 Krichever, I. M. 26 1986 Two-dimensionalized Toda lattice, commuting difference operators, and holomorphic vector bundles. Zbl 1060.37068 Krichever, I. M.; Novikov, S. P. 25 2003 Algebraic curves and non-linear difference equations. Zbl 0412.39002 Krichever, I. M. 23 1978 Symplectic forms in the theory of solitons. Zbl 0931.35148 Krichever, I. M.; Phong, D. H. 22 1998 Nonlinear equations and elliptic curves. Zbl 0595.35087 Krichever, I. M. 20 1983 On rational solutions of the Kadomtsev-Petviashvili equation and on integrable systems of \(n\) particles on a line. Zbl 0374.70008 Krichever, I. M. 20 1978 Integrability: The Seiberg-Witten and Whitham equations. Zbl 0948.00012 18 2000 Kadomtsev-Petviashvili turning points and CKP hierarchy. Zbl 1479.37071 Krichever, I.; Zabrodin, A. 18 2021 Potentials with zero coefficient of reflection on a background of finite- zone potentials. Zbl 0333.34022 Krichever, I. M. 18 1975 General rational reductions of the KP hierarchy and their symmetries. Zbl 0868.35103 Krichever, I. M. 17 1995 The universal Whitham hierarchy and the geometry of the moduli space of pointed Riemann surfaces. Zbl 1213.14055 Grushevsky, Samuel; Krichever, Igor 17 2010 Holomorphic fiberings and nonlinear equations. Finite zone solutions of rank 2. Zbl 0434.35078 Krichever, I. M.; Novikov, S. P. 17 1979 Dynamical systems. IV: Integrable systems. Zbl 0591.58013 Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 16 1985 Periodic and almost-periodic potentials in inverse problems. Zbl 0958.35122 Krichever, I.; Novikov, S. P. 16 1999 Lax operator algebras. Zbl 1160.17017 Krichever, I. M.; Sheinman, O. K. 16 2007 Self-similar solutions of equations of Korteweg-deVries type. Zbl 0454.35078 Krichever, I. M. 16 1981 Perturbation theory in periodic problems for two-dimensional integrable systems. Zbl 0847.35122 Krichever, I. M. 15 1992 Integrable equations, addition theorems, and the Riemann-Schottky problem. Zbl 1134.14306 Bukhshtaber, V. M.; Krichever, I. M. 15 2006 Generalized elliptic genera and Baker-Akhiezer functions. Zbl 0692.57014 Krichever, I. M. 14 1990 Evolution of a Whitham zone in the Korteweg-de Vries theory. Zbl 0655.65132 Avilov, V. V.; Krichever, I. M.; Novikov, S. P. 14 1987 The periodic and open Toda lattice. Zbl 1119.37333 Krichever, I.; Vaninsky, K. L. 14 2002 Characterizing Jacobians via trisecants of the Kummer variety. Zbl 1215.14031 Krichever, Igor 14 2010 Vector addition theorems and Baker-Akhiezer functions. Zbl 0803.39006 Bukhshtaber, V. M.; Krichever, I. M. 13 1993 Elliptic solutions of nonlinear integrable equations and related topics. Zbl 0811.35123 Krichever, I. M. 13 1994 Baxter’s equations and algebraic geometry. Zbl 0485.35078 Krichever, I. M. 13 1981 Commuting difference operators and the combinatorial Gale transform. Zbl 1331.47052 Krichever, I. M. 13 2015 Elliptic families of solutions of the Kadomtsev-Petviashvili equation, and the field analogue of the elliptic Calogero-Moser system. Zbl 1033.37032 Akhmet’shin, A. A.; Krichever, I. M.; Vol’vovskii, Yu. S. 13 2002 Linear operators with self-consistent coefficients and rational reductions of KP hierarchy. Zbl 1194.37103 Krichever, I. 12 1995 Two-dimensional periodic difference operators and algebraic geometry. Zbl 0603.39004 Krichever, I. M. 12 1985 Constrained Toda hierarchy and turning points of the Ruijsenaars-Schneider model. Zbl 1491.35399 Krichever, I.; Zabrodin, A. 12 2022 Integrable discrete Schrödinger equations and a characterization of Prym varieties by a pair of quadrisecants. Zbl 1217.14022 Grushevsky, Samuel; Krichever, Igor 12 2010 Discrete analogs of the Darboux-Egorov metrics. Zbl 0980.37028 Akhmetshin, A. A.; Vol’vovskij, Yu. S.; Krichever, I. M. 11 1999 A characterization of Prym varieties. Zbl 1106.14017 Krichever, I. 11 2006 An analogue of d’Alembert’s formula for the equations of the principal chiral field and for the Sine-Gordon equation. Zbl 0496.35073 Krichever, I. M. 10 1980 Rational solutions of the Zakharov-Shabat equations and completely integrable systems of \(N\) particles on a line. Zbl 0515.35005 Krichever, I. M. 10 1983 Toda lattice with constraint of type B. Zbl 1540.37094 Krichever, I.; Zabrodin, A. 10 2023 Holomorphic vector bundles over Riemann surfaces and the Kadomtsev-Petviashvili equation. I. Zbl 0393.35061 Krichever, I. M.; Novikov, S. P. 10 1978 Two-dimensional algebraic-geometric operators with self-consistent potentials. Zbl 0863.35109 Krichever, I. M. 9 1994 Analytic theory of difference equations with rational and elliptic coefficients and the Riemann-Hilbert problem. Zbl 1075.39012 Krichever, I. M. 9 2004 Soliton equations and the Riemann-Schottky problem. Zbl 1322.14008 Krichever, I.; Shiota, T. 9 2013 Algebraic curves and commuting matricial differential operators. Zbl 0347.35077 Krichever, I. M. 9 1976 Algebraic-geometrical methods in the theory of integrable equations and their perturbations. Zbl 0840.35095 Krichever, I. 8 1995 Rational multisoliton solutions of the nonlinear Schrödinger equation. Zbl 0613.35075 Eleonskij, V. M.; Krichever, I. M.; Kulagin, N. E. 8 1986 “Hessians” of integrals of the Korteweg-de Vries equation and perturbations of finite-zone solutions. Zbl 0543.35087 Krichever, I. M. 8 1983 Real-normalized differentials and the elliptic Calogero-Moser system. Zbl 1337.32003 Grushevsky, Samuel; Krichever, Igor 8 2015 Holomorphic bundles over Riemann surfaces and the Kadomtsev-Petviashvili equation. I. Zbl 0404.35082 Krichever, I. M.; Novikov, S. P. 8 1979 On the rational solutions of Zakharov-Shabat equations and completely integrable systems of \(N\) particles on a line. Zbl 0413.35008 Krichever, I. M. 7 1979 Formal groups and the Atiyah-Hirzebruch formula. Zbl 0315.57021 Krichever, I. M. 7 1976 Elliptic analog of the Toda lattice. Zbl 1001.37069 Krichever, I. 6 2000 Multidimensional vector addition theorems and the Riemann theta functions. Zbl 1061.14502 Buchstaber, V.; Krichever, I. 6 1996 Integrable linear equations and the Riemann-Schottky problem. Zbl 1132.14032 Krichever, Igor M. 6 2006 Baxter equations and algebraic geometry. Zbl 0475.35072 Krichever, I. M. 6 1981 Vacuum curves of elliptic \(L\)-operators and representations of the Sklyanin algebra. Zbl 0938.37044 Krichever, I.; Zabrodin, A. 6 1999 Characterizing Jacobians via flexes of the Kummer variety. Zbl 1098.14020 Arbarello, Enrico; Krichever, Igor; Marini, Giambattista 6 2006 A generating formula for solutions of the associativity equations. Zbl 0934.53032 Akhmetshin, A. A.; Volvovskij, Yu. S.; Krichever, I. M. 5 1999 Topological and algebraic geometry methods in contemporary mathematical physics. II. Zbl 0534.58002 Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 5 1982 The periodic problems for two-dimensional integrable systems. Zbl 0744.35047 Krichever, Igor 5 1991 Algebraische Kurven und kommutierbare Matrix-Differentialoperatoren. Zbl 0338.35082 Krichever, I. M. 5 1976 Trivalent graphs and solitons. Zbl 0981.37023 Krichever, I. M.; Novikov, S. P. 4 1999 Toda lattice with constraint of type B. Zbl 1540.37094 Krichever, I.; Zabrodin, A. 10 2023 Monodromy free linear equations and many-body systems. Zbl 1522.35013 Krichever, I.; Zabrodin, A. 2 2023 Constrained Toda hierarchy and turning points of the Ruijsenaars-Schneider model. Zbl 1491.35399 Krichever, I.; Zabrodin, A. 12 2022 Novikov-Veselov symmetries of the two-dimensional \(O(N)\) sigma model. Zbl 1479.14040 Krichever, Igor; Nekrasov, Nikita 1 2022 Kadomtsev-Petviashvili turning points and CKP hierarchy. Zbl 1479.37071 Krichever, I.; Zabrodin, A. 18 2021 Incarnations of XXX \(\widehat{\mathfrak{sl}_N}\) Bethe ansatz equations and integrable hierarchies. Zbl 1503.17028 Krichever, Igor; Varchenko, Alexander 1 2021 Real-normalized differentials: limits on stable curves. Zbl 1437.14033 Grushevsky, S.; Krichever, I. M.; Norton, C. 4 2019 Triangular reductions of the \(2D\) Toda hierarchy. Zbl 1370.37127 Ilina, A. V.; Krichever, I. M. 2 2017 Commuting difference operators and the combinatorial Gale transform. Zbl 1331.47052 Krichever, I. M. 13 2015 Real-normalized differentials and the elliptic Calogero-Moser system. Zbl 1337.32003 Grushevsky, Samuel; Krichever, Igor 8 2015 Amoebas, Ronkin function, and Monge-Ampère measures of algebraic curves with marked points. Zbl 1364.32008 Krichever, I. 4 2014 Soliton equations and the Riemann-Schottky problem. Zbl 1322.14008 Krichever, I.; Shiota, T. 9 2013 Perturbation theory in periodic problems for two-dimensional integrable systems. Zbl 1307.35260 Krichever, I. M. 2 2013 Real normalized differentials and Arbarello’s conjecture. Zbl 1278.30041 Krichever, I. M. 4 2012 The universal Whitham hierarchy and the geometry of the moduli space of pointed Riemann surfaces. Zbl 1213.14055 Grushevsky, Samuel; Krichever, Igor 17 2010 Characterizing Jacobians via trisecants of the Kummer variety. Zbl 1215.14031 Krichever, Igor 14 2010 Integrable discrete Schrödinger equations and a characterization of Prym varieties by a pair of quadrisecants. Zbl 1217.14022 Grushevsky, Samuel; Krichever, Igor 12 2010 Abelian solutions of the soliton equations and geometry of abelian varieties. Zbl 1205.37079 Krichever, I.; Shiota, T. 1 2010 Abelian solutions of the soliton equations and Riemann-Schottky problems. Zbl 1164.37021 Krichever, I. M. 1 2008 Abelian solutions of the KP equations. Zbl 1158.37027 Krichever, I.; Shiota, T. 1 2008 Lax operator algebras. Zbl 1160.17017 Krichever, I. M.; Sheinman, O. K. 16 2007 Integrable equations, addition theorems, and the Riemann-Schottky problem. Zbl 1134.14306 Bukhshtaber, V. M.; Krichever, I. M. 15 2006 A characterization of Prym varieties. Zbl 1106.14017 Krichever, I. 11 2006 Integrable linear equations and the Riemann-Schottky problem. Zbl 1132.14032 Krichever, Igor M. 6 2006 Characterizing Jacobians via flexes of the Kummer variety. Zbl 1098.14020 Arbarello, Enrico; Krichever, Igor; Marini, Giambattista 6 2006 Integrable structure of the Dirichlet boundary problem in multiply-connected domains. Zbl 1091.37019 Krichever, I.; Marshakov, A.; Zabrodin, A. 37 2005 Laplacian growth and Whitham equations of soliton theory. Zbl 1078.76025 Krichever, I.; Mineev-Weinstein, M.; Wiegmann, P.; Zabrodin, A. 38 2004 Analytic theory of difference equations with rational and elliptic coefficients and the Riemann-Hilbert problem. Zbl 1075.39012 Krichever, I. M. 9 2004 Integrable chains on algebraic curves. Zbl 1070.37052 Krichever, I. 1 2004 Topological and algebraic geometry methods in contemporary mathematical physics. Zbl 1107.37003 Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 1 2004 Two-dimensionalized Toda lattice, commuting difference operators, and holomorphic vector bundles. Zbl 1060.37068 Krichever, I. M.; Novikov, S. P. 25 2003 Vector bundles and Lax equations on algebraic curves. Zbl 1073.14048 Krichever, I. 39 2002 Isomonodromy equations on algebraic curves, canonical transformations and Whitham equations. Zbl 1044.70010 Krichever, I. 33 2002 The periodic and open Toda lattice. Zbl 1119.37333 Krichever, I.; Vaninsky, K. L. 14 2002 Elliptic families of solutions of the Kadomtsev-Petviashvili equation, and the field analogue of the elliptic Calogero-Moser system. Zbl 1033.37032 Akhmet’shin, A. A.; Krichever, I. M.; Vol’vovskii, Yu. S. 13 2002 The \(\tau\)-function for analytic curves. Zbl 0991.37050 Kostov, I. K.; Krichever, I.; Mineev-Weinstein, M.; Wiegmann, P. B.; Zabrodin, A. 41 2001 Integrability: The Seiberg-Witten and Whitham equations. Zbl 0948.00012 18 2000 Elliptic analog of the Toda lattice. Zbl 1001.37069 Krichever, I. 6 2000 Spin chain models with spectral curves from M theory. Zbl 0992.37062 Krichever, I.; Phong, D. H. 4 2000 Holomorphic bundles and commuting difference operators. Two-point constructions. Zbl 0978.35066 Krichever, I. M.; Novikov, S. P. 2 2000 Baker-Akhiezer functions and integrable systems. Zbl 0983.37090 Krichever, I. M. 2 2000 Holomorphic bundles and scalar difference operators: single-point constructions. Zbl 1101.14315 Krichever, I. M.; Novikov, S. P. 1 2000 Periodic and almost-periodic potentials in inverse problems. Zbl 0958.35122 Krichever, I.; Novikov, S. P. 16 1999 Discrete analogs of the Darboux-Egorov metrics. Zbl 0980.37028 Akhmetshin, A. A.; Vol’vovskij, Yu. S.; Krichever, I. M. 11 1999 Vacuum curves of elliptic \(L\)-operators and representations of the Sklyanin algebra. Zbl 0938.37044 Krichever, I.; Zabrodin, A. 6 1999 A generating formula for solutions of the associativity equations. Zbl 0934.53032 Akhmetshin, A. A.; Volvovskij, Yu. S.; Krichever, I. M. 5 1999 Trivalent graphs and solitons. Zbl 0981.37023 Krichever, I. M.; Novikov, S. P. 4 1999 Elliptic solutions to difference nonlinear equations and related many-body problems. Zbl 0907.35124 Krichever, I.; Wiegmann, P.; Zabrodin, A. 27 1998 Symplectic forms in the theory of solitons. Zbl 0931.35148 Krichever, I. M.; Phong, D. H. 22 1998 Quantum integrable models and discrete classical Hirota equations. Zbl 0896.58035 Krichever, I.; Lipan, O.; Wiegmann, P.; Zabrodin, A. 101 1997 The effective prepotential of \(N=2\) supersymmetric SU\((N_c)\) gauge theories. Zbl 0925.81380 D’Hoker, Eric; Krichever, I. M.; Phong, D. H. 49 1997 On the integrable geometry of soliton equations and \(N=2\) supersymmetric gauge theories. Zbl 0889.58044 Krichever, I. M.; Phong, D. H. 41 1997 The effective prepotential of \(N=2\) supersymmetric SO\((N_c)\) and Sp\((N_c)\) gauge theories. Zbl 0925.81381 D’Hoker, Eric; Krichever, I. M.; Phong, D. H. 29 1997 The renormalization group equation in \(N=2\) supersymmetric gauge theories. Zbl 0979.81587 D’Hoker, Eric; Krichever, I. M.; Phong, D. H. 26 1997 Algebraic-geometric \(n\)-orthogonal curvilinear coordinate systems and solutions of the associativity equations. Zbl 1004.37052 Krichever, I. M. 26 1997 Quantum integrable systems and elliptic solutions of classical discrete nonlinear equations. Zbl 0995.37054 Krichever, I.; Lipan, O.; Wiegmann, P.; Zabrodin, A. 4 1997 Multidimensional vector addition theorems and the Riemann theta functions. Zbl 1061.14502 Buchstaber, V.; Krichever, I. 6 1996 Integrability and Seiberg-Witten exact solution. Zbl 0997.81567 Gorsky, A.; Krichever, Igor Moiseevich; Marshakov, A.; Mironov, A.; Morozov, A. 222 1995 Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and representations of the Sklyanin algebra. Zbl 0960.37030 Krichever, I.; Zabrodin, A. 65 1995 Finite genus solutions to the Ablowitz-Ladik equations. Zbl 0869.34065 Miller, Peter D.; Ercolani, Nicholas M.; Krichever, Igor M.; Levermore, C. David 59 1995 Spin generalization of the Calogero-Moser system and the matrix KP equation. Zbl 0843.58069 Krichever, I.; Babelon, O.; Billey, E.; Talon, M. 44 1995 General rational reductions of the KP hierarchy and their symmetries. Zbl 0868.35103 Krichever, I. M. 17 1995 Linear operators with self-consistent coefficients and rational reductions of KP hierarchy. Zbl 1194.37103 Krichever, I. 12 1995 Algebraic-geometrical methods in the theory of integrable equations and their perturbations. Zbl 0840.35095 Krichever, I. 8 1995 The \(\tau\)-function of the universal Whitham hierarchy, matrix models and topological field theories. Zbl 0811.58064 Krichever, I. M. 153 1994 Elliptic solutions of nonlinear integrable equations and related topics. Zbl 0811.35123 Krichever, I. M. 13 1994 Two-dimensional algebraic-geometric operators with self-consistent potentials. Zbl 0863.35109 Krichever, I. M. 9 1994 Vector addition theorems and Baker-Akhiezer functions. Zbl 0803.39006 Bukhshtaber, V. M.; Krichever, I. M. 13 1993 The Cauchy problem for doubly periodic solutions of KP-II equation. Zbl 0854.35101 Krichever, I. 1 1993 The dispersionless Lax equations and topological minimal models. Zbl 0753.35095 Krichever, I. 88 1992 Perturbation theory in periodic problems for two-dimensional integrable systems. Zbl 0847.35122 Krichever, I. M. 15 1992 Whitham theory for integrable systems and topological quantum field theories. Zbl 1221.37178 Krichever, Igor Moiseevich 2 1992 Multi-phase solutions of the Benjamin-Ono equation and their averaging. Zbl 0752.35058 Dobrokhotov, S. Yu.; Krichever, I. M. 26 1991 The periodic problems for two-dimensional integrable systems. Zbl 0744.35047 Krichever, Igor 5 1991 The averaging procedure for the soliton-like solutions of integrable systems. Zbl 0734.58026 Krichever, Igor M. 1 1991 Generalized elliptic genera and Baker-Akhiezer functions. Zbl 0702.57006 Krichever, I. M. 27 1990 Generalized elliptic genera and Baker-Akhiezer functions. Zbl 0692.57014 Krichever, I. M. 14 1990 Riemann surfaces, operator fields, strings. Analogues of the Fourier- Laurent bases. Zbl 0749.17031 Krichever, I. M.; Novikov, S. P. 3 1990 Spectral theory of two-dimensional periodic operators and its applications. Zbl 0699.35188 Krichever, I. M. 55 1989 Algebras of Virasoro type, energy-momentum tensor, and decomposition operators on Riemann surfaces. Zbl 0684.17012 Krichever, I. M.; Novikov, S. P. 31 1989 Method of averaging for two-dimensional ”integrable” equations. Zbl 0688.35088 Krichever, I. M. 98 1988 Virasoro-Gelfand-Fuks type algebras, Riemann surfaces, operator’s theory of closed strings. Zbl 0707.17015 Krichever, I. M.; Novikov, S. P. 3 1988 A periodic problem for the Kadomtsev-Petviashvili equation. Zbl 0699.35213 Krichever, I. M. 2 1988 Algebras of Virasoro type, Riemann surfaces and structures of the theory of solitons. Zbl 0634.17010 Krichever, I. M.; Novikov, S. P. 92 1987 Virasoro-type algebras, Riemann surfaces and strings in Minkowski space. Zbl 0659.17012 Krichever, I. M.; Novikov, S. P. 57 1987 Evolution of a Whitham zone in the Korteweg-de Vries theory. Zbl 0655.65132 Avilov, V. V.; Krichever, I. M.; Novikov, S. P. 14 1987 Spectral theory of finite-zone nonstationary Schrödinger operators. A nonstationary Peierls model. Zbl 0637.35060 Krichever, I. M. 26 1986 Rational multisoliton solutions of the nonlinear Schrödinger equation. Zbl 0613.35075 Eleonskij, V. M.; Krichever, I. M.; Kulagin, N. E. 8 1986 Integrable systems. I. Zbl 0780.58019 Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 46 1985 Dynamical systems. IV: Integrable systems. Zbl 0591.58013 Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 16 1985 Two-dimensional periodic difference operators and algebraic geometry. Zbl 0603.39004 Krichever, I. M. 12 1985 Two-dimensional periodic Schrödinger operators and Prym’s \(\theta\)- functions. Zbl 0575.35084 Veselov, A. P.; Krichever, I. M.; Novikov, S. P. 1 1985 The Laplace method, algebraic curves, and nonlinear equations. Zbl 0583.35086 Krichever, I. M. 1 1984 Nonlinear equations and elliptic curves. Zbl 0595.35087 Krichever, I. M. 20 1983 Rational solutions of the Zakharov-Shabat equations and completely integrable systems of \(N\) particles on a line. Zbl 0515.35005 Krichever, I. M. 10 1983 “Hessians” of integrals of the Korteweg-de Vries equation and perturbations of finite-zone solutions. Zbl 0543.35087 Krichever, I. M. 8 1983 Topological and algebraic geometry methods in contemporary mathematical physics. II. Zbl 0534.58002 Dubrovin, B. A.; Krichever, I. M.; Novikov, S. P. 5 1982 Algebro-geometric spectral theory of the Schrödinger difference operator and the Peierls model. Zbl 0527.39001 Krichever, I. M. 1 1982 Theta functions and non-linear equations. Zbl 0549.58038 Dubrovin, B. A. 226 1981 Theta-functions and non-linear equations. Zbl 0478.58038 Dubrovin, B. A. 118 1981 ...and 39 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,614 Authors 50 Krichever, Igor’ Moiseevich 50 Zabrodin, Anton V. 47 Mironov, Andrei D. 41 Morozov, Alexei Yurievich 40 Geng, Xianguo 34 Zotov, Andrei V. 33 Marshakov, Andrei V. 27 Grinevich, Pëtr Georgievich 23 Gorskiĭ, Aleksandr Sergeevich 22 Sheĭnman, Oleg Karlovich 21 Bukhshtaber, Viktor Matveevich 21 Mironov, Andreĭ Evgen’evich 21 Veselov, Alexander Petrovich 20 Konopelchenko, Boris Georgievich 17 Martínez Alonso, Luis 17 Nekrasov, Nikita Alexandrovich 17 Takasaki, Kanehisa 15 Chalykh, Oleg A. 15 Enolskiĭ, Viktor Zelikovich 15 Kazakov, Vladimir A. 15 Novikov, Sergeĭ Petrovich 15 Previato, Emma 15 Taĭmanov, Iskander Asanovich 14 Braden, Harry W. 14 Gesztesy, Fritz 14 Gromov, Nikolay A. 14 Santini, Paolo Maria 14 Smirnov, Alexander O. 13 Morozov, Al’bert Dmitrievich 12 D’Hoker, Eric 12 Doliwa, Adam 12 Zeng, Xin 11 Abenda, Simonetta 11 Bonelli, Giulio 11 Cox, Ben Lewis 11 Dubrovin, Boris Anatol’evich 11 Ferapontov, Evgeny Vladimirovich 11 Hurtubise, Jacques C. 11 Nijhoff, Frank W. 11 Schlichenmaier, Martin 11 Tanzini, Alessandro 11 Tsuboi, Zengo 11 Zheglov, Alexander B. 10 Bertola, Marco 10 Bunkova, Elena Yur’evna 10 El, Gennady A. 10 Fan, Engui 10 Khabibullin, Ismagil Talgatovich 10 Harnad, John 10 Khakimova, Aĭgul’ Rinatovna 10 Koroteev, Peter 10 Mariño, Marcos 10 Miller, Peter D. 10 Olshanetsky, Mikhail A. 10 Wei, Jiao 10 Zenkevich, Yegor 10 Zhai, Yunyun 9 Cheng, Jipeng 9 He, Guoliang 9 Leurent, Sebastien 9 Medina, Elena 9 Naculich, Stephen G. 9 Novikov, Roman G. 9 Odesskii, Alexander 9 Phong, Duong Hong 9 Ruijsenaars, Simon N. M. 9 Schnitzer, Howard J. 9 Shakirov, Sh. R. 9 Tu, Minghsien 9 Volin, Dmytro 8 Babelon, Olivier 8 Carroll, Robert Wayne 8 Chang, Jen-Hsu 8 Hone, Andrew N. W. 8 Natanzon, Sergei M. 8 Pavlov, Maxim V. 8 Pogrebkov, Andrei K. 8 Sokolov, Vladimir Vyacheslavovich 8 Takebe, Takashi 8 Zhang, Dajun 7 Berntson, Bjorn K. 7 Bobenko, Alexander Ivanovich 7 Brini, Andrea 7 Futorny, Vyacheslav M. 7 Gavrylenko, Pavlo 7 Grava, Tamara 7 Grünbaum, Francisco Alberto 7 Illarionov, Andrei A. 7 Kappeler, Thomas 7 Kasman, Alex 7 Levin, Andrey M. 7 Matveev, Vladimir B. 7 Mauleshova, Gulnara S. 7 Mokhov, Oleg I. 7 Nakayashiki, Atsushi 7 Ohta, Yűji 7 Prykarpatsky, Anatoliy Karolevych 7 Shabat, Alekseĭ Borisovich 7 Treibich, Armando 7 van de Leur, Johan W. ...and 1,514 more Authors all top 5 Cited in 223 Serials 124 Journal of High Energy Physics 123 Nuclear Physics. 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Mathematical, Physical and Engineering Sciences 3 Journal of Fluid Mechanics 3 Mathematical Methods in the Applied Sciences 3 Acta Mathematica 3 Geometriae Dedicata 3 Publications Mathématiques 3 Journal of Pure and Applied Algebra 3 Mathematics and Computers in Simulation 3 Proceedings of the Japan Academy. Series A 3 Proceedings of the London Mathematical Society. Third Series 3 Tôhoku Mathematical Journal. Second Series 3 Differential Geometry and its Applications 3 Annals of Physics 3 Linear Algebra and its Applications 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Indagationes Mathematicae. New Series 3 St. Petersburg Mathematical Journal 3 Izvestiya: Mathematics 3 Lobachevskii Journal of Mathematics 3 Algebraic & Geometric Topology 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Sibirskie Èlektronnye Matematicheskie Izvestiya 3 Communications in Theoretical Physics 3 Forum of Mathematics, Sigma ...and 123 more Serials all top 5 Cited in 55 Fields 853 Dynamical systems and ergodic theory (37-XX) 651 Partial differential equations (35-XX) 616 Quantum theory (81-XX) 446 Algebraic geometry (14-XX) 174 Nonassociative rings and algebras (17-XX) 150 Differential geometry (53-XX) 145 Statistical mechanics, structure of matter (82-XX) 139 Ordinary differential equations (34-XX) 113 Difference and functional equations (39-XX) 104 Mechanics of particles and systems (70-XX) 103 Functions of a complex variable (30-XX) 102 Global analysis, analysis on manifolds (58-XX) 92 Operator theory (47-XX) 78 Special functions (33-XX) 76 Fluid mechanics (76-XX) 67 Associative rings and algebras (16-XX) 64 Several complex variables and analytic spaces (32-XX) 54 Relativity and gravitational theory (83-XX) 40 Commutative algebra (13-XX) 37 Manifolds and cell complexes (57-XX) 31 Linear and multilinear algebra; matrix theory (15-XX) 31 Topological groups, Lie groups (22-XX) 31 Numerical analysis (65-XX) 24 Algebraic topology (55-XX) 22 Number theory (11-XX) 18 Probability theory and stochastic processes (60-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 15 Group theory and generalizations (20-XX) 15 Optics, electromagnetic theory (78-XX) 14 Combinatorics (05-XX) 13 Geometry (51-XX) 11 Field theory and polynomials (12-XX) 10 Approximations and expansions (41-XX) 10 Functional analysis (46-XX) 10 Convex and discrete geometry (52-XX) 8 Potential theory (31-XX) 7 History and biography (01-XX) 7 Integral transforms, operational calculus (44-XX) 6 Integral equations (45-XX) 6 Computer science (68-XX) 6 Mechanics of deformable solids (74-XX) 5 \(K\)-theory (19-XX) 4 General and overarching topics; collections (00-XX) 4 Statistics (62-XX) 3 Real functions (26-XX) 2 Category theory; homological algebra (18-XX) 2 Measure and integration (28-XX) 2 Abstract harmonic analysis (43-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 General topology (54-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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